Characteristics of hydrostatic bearing/seal parts for water hydraulic pumps and motors. Part 1: Experiment and theory

In this paper, the load-carrying capacity, power losses and stiffness of disk-type hydrostatic thrust bearings including the case of eccentric loading are discussed theoretically. The numerical analysis method is established based on a two-dimensional elastohydrostatic problem with an elastic deformation model, which is extended to adapt it for a non-axisymmetric load acting on the thrust bearing. The bearing is made of a combination of stainless steel/stainless steel and stainless steel/plastics. For the elastic materials, the maximum stiffness derived from, i.e., minimum film thickness is, larger than that of the rigid material in the range of a large ratio of pocket pressure and a hydrostatic balance ratio of over unity, which is defined as the ratio of the load to the maximum hydrostatic load-carrying capacity. The maximum load-carrying capacity and minimum power loss can exist in the domain of the hydrostatic balance ratio over unity for the case of the bearing consisting of elastic/rigid materials, in comparison with that composed of the same rigid materials. For the case of water, the power loss due to leakage flow is slightly larger but that due to frictional torque is much smaller than that in the case of hydraulic oil. Then, the total power loss is much smaller than that of hydraulic oil.     

Measurement of the Timoshenko Shear Stiffness. II: Effect of Transverse Compressibility

This is the second of two papers devoted to the issue of measuring the Timoshenko shear stiffness of thin-walled composite beams. In the first paper, the effect of warping on the effective Timoshenko shear stiffness, as measured through bending tests, was studied. The bending test was simulated using finite-element analysis, and the results indicated that the warping effect was minimal. On the other hand, the evidence suggests that transverse flexibility may have a significant influence on the effective Timoshenko shear stiffness, decreasing the effective shear stiffness at shorter test spans. The purpose of the present study is to further investigate this effect and to explore the use of a sandwich theory to predict the measurement error. A higher-order sandwich theory, which captures the transverse strain at concentrated loads and supports, is applied to a commercially available thin-walled composite beam. The results indicate that the sandwich model does capture the decrease in the effective shear stiffness at short spans, and the dependence of the shear stiffness on span-to-depth ratio is similar to that calculated in the first paper, using the finite-element method.     

The stiffness matrix in elastically articulated rigid-body systems

Discussed in this paper is the Cartesian stiffness matrix, which recently has received special attention within the robotics research community. Stiffness is a fundamental concept in mechanics; its representation in mechanical systems whose potential energy is describable by a finite set of generalized coordinates takes the form of a square matrix that is known to be, moreover, symmetric and positive-definite or, at least, semi-definite. We attempt to elucidate in this paper the notion of “asymmetric stiffness matrices”. In doing so, we show that to qualify for a stiffness matrix, the matrix should be symmetric and either positive semi-definite or positive-definite. We derive the conditions under which a matrix mapping small-amplitude displacement screws into elastic wrenches fails to be symmetric. From the discussion, it should be apparent that the asymmetric matrix thus derived cannot be, properly speaking, a stiffness matrix. The concept is illustrated with an example.     

Analytical model of displacement amplification and stiffness optimization for a class of flexure-based compliant mechanisms

The paper formulates an analytical method for displacement and stiffness calculations of planar compliant mechanisms with single-axis flexure hinges. The procedure is based on the strain energy and Castigliano’s displacement theorem and produces closed-form equations that incorporate the compliances characterizing any analytically-defined hinge, together with the other geometric and material properties of the compliant mechanism. Displacement amplification, input stiffness and output stiffness calculations can simply be performed for any serial compliant mechanism. The class of amplifying compliant mechanisms that contain symmetric corner-filleted or circular flexure hinges is specifically addressed here. A parametric study of the mechanism performance is performed, based on the mathematical model, and an optimization procedure is proposed, based on Lagrange’s multipliers and Kuhn-Tucker conditions, which identifies the design vector that maximizes the performance of these flexure-based compliant mechanisms. Independent finite element simulation confirms the analytical model predictions.     

Degradation of Stiffness of Cemented Calcareous Soil in Cyclic Triaxial Tests

The deformation characteristics of artificially cemented calcareous soil subjected to undrained cyclic triaxial loading are investigated at different confining pressure and cyclic stress levels. The influence of cementation on the shear stiffness is investigated by comparing the behavior of cemented and uncemented soils with similar initial conditions. It is observed that the deviator stress and the deviatoric strain at yield reduced with increasing number of cycles for cemented sand due to progressive degradation of bond, which results in significant decrease in stiffness. On the other hand, a strain-hardening effect is observed in uncemented sand and this results in increasing yield stress and strain with progressive number of cycles. A linear relationship between degradation index and number of cycles is observed for cemented sand. This relationship has been synthesized in the form of an empirical equation by modifying a previously proposed equation for cohesive soils. This empirical equation was further used to evaluate the fatigue life of soils by adopting a failure criterion.     

如何正确地提高轧机工作机座的刚度

本文着重分析和讨论了提高轧机工作机座刚度的三种途径：　合理提高零部件刚度、短应力线机座、预应力机座。指出某些错误概念与问题，阐述了如何正确地提高轧机工作座的刚度。     

基于ANSYS的闩体刚强度有限元分析

闩体的刚度和强度必须满足设计要求。用有限元法对复杂结构件进行力学性能分析是非常有效的方法。采用ANSYS软件对闩体进行了刚度和强度分析,得出了有用的结论,可供相关设计借鉴。     

The dynamics of the dry friction oscillator taking into account pre-displacement and tangential contact stiffness

A one-dimensional model of the dry friction oscillator is considered taking into account the phenomena of pre-displacement and tangential contact stiffness. The dynamic parameters and characteristics of the basic mode of stabilized vibrations are determined for the cases of force and kinematic excitation. The obtained results are compared with the Coulomb model of the force of friction, which gives evidence that this model is inapplicable to calculating low-amplitude oscillations. The effect of the tribological contact parameters on the resonance characteristics of the oscillator and the damping properties of the friction contact are investigated.     

基于活塞形状改变的空气弹簧特性仿真研究

研究汽车装用空气弹簧刚度优化问题,活塞形状对膜式空气弹簧刚度特性的影响较大。为了提高整车的平顺性能,建立空气弹簧简化模型,得到圆台和倒圆台活塞形状下空气弹簧的有效承载半径影响因素。利用ABAQUS软件建立安装圆柱、圆台和倒圆台活塞的空气弹簧有限元模型进行,研究了不同圆台角下圆台活塞空气弹簧的刚度特性。仿真结果表明,在一定范围内,圆台角度越大,空气弹簧刚度也越大,证明与理论分析吻合,并对空气弹簧的设计和匹配具有一定的指导意义。     

柔性石墨纸轧机动刚度薄弱部位辨识与优化

借助谐响应分析辨识出柔性石墨纸轧机动刚度的薄弱环节,并利用灵敏度分析方法建立该环节的优化数学模型,进而实现对整机动刚度的提升。通过对各部件刚度提升前后的柔性石墨纸轧机进行模态分析,并对比各部件对整机固有频率的影响,辨识出薄弱部位为底座,故以底座为优化对象;将牌坊Y向共振频率对底座尺寸的灵敏度曲线拟合得出优化目标函数,以Y向共振频率为优化目标,质量为约束条件建立优化方程并求解;对比优化前后整机的动刚度,得出:在质量不增加的情况下,整机薄弱频率提升了24.1%,Y向振幅降低了15.9%。为提高优化效率提供了理论依据和参考。